HOMEWORK PROBLEM SET

1
HOMEWORK PROBLEM SET2, DUE TUESDAY OCT.6

• 1. Consider the convolution of an image by an nxn
  template, A, followed by the convolution by an
  nxn template B. In general is the order of
  convolution by A and then by B commutative ? If
  so, prove it. If not show a counterexample.
• 2.
• Generate the 5x5 template for a 2-D Gaussian with
  standard deviation equal to 1 pixel length.
• Apply it to a step edge (make up your favorite
  object gray value and background gray value).
• Now apply a 3x3 Laplacian template and identify
  the zero-crossings that constitute edge pixels.

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HOMEWORK PROBLEM SET2, DUE TUESDAY OCT.6

• 3. Compute the Canny edges for the peppers.gif
  image and for the trees.gif image.
• 4. (EXTRA CREDIT) Try to extend the notion of
  Canny edges to RGB color images and run it on the
  desert.gif image.